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Finding the Fourth Proportional to 8,683.50, 13,025.21 and 2,109.70

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Solution

The fourth proportional to 8,683.50, 13,025.21 and 2,109.70 is: 3,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.50 : 13,025.21 = 2,109.70 : x
  2. Step 2: Convert to fraction form
    8,683.50/13,025.21 = 2,109.70/x
  3. Step 3: Cross multiply
    8,683.50x = 13,025.21 × 2,109.70
  4. Step 4: Simplify right side
    8,683.50x = 27,479,272.95
  5. Step 5: Solve for x
    x = 27,479,272.95/8,683.50
  6. Step 6: Final answer
    x = 3,164.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.